Introduction to Mathematical Analysis

The book begins��at the level of��an undergraduate student assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus Lebesgue integral vector calculus and differential equations. After having built on a solid foundation of topology and linear algebra the text later expands into more advanced topics such as complex analysis differential forms calculus of variations differential geometry and even functional analysis. Overall this text provides a unique and well-rounded introduction to the highly developed and multi-faceted subject of mathematical analysis as understood by a mathematician today.��� ��